Logic Date:  Thursday, January 17, 2013 Location:  2866 East Hall (4:00 PM to 7:00 PM) Title:  Domination of Continuous and Borel functions Abstract:   Let X be the set of continuous functions from Baire space to the integers. Let Y be the set of Borel functions from Baire space to the integers. We can order both of these sets with respect to everywhere domination. It is not hard to see that the cofinalities of both of these orderings are uncountable cardinals less than or equal to the cardinal of the continuum. In this talk, we will compute both of these cardinals. Similar results can be obtained by replacing Baire space with, say, the real line with the standard topology. Speaker:  Daniel Hathaway Institution:  U. Mich. Event Organizer:   Andreas Blass    ablass@umich.edu   Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.